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BIM 108
Biomedical Signals and Control
Spring 2008
==========================================
Homework #1
Reading Assignment
: Sections 1.1 – 1.5, 3.1, 3.3
1.
Show that each of these signals is equal to a sum of rectangular pulses
p
τ
(t)
and/or
triangular pulses (
1

2

t
/
τ
)
p
τ
(
t
).
2.
Determine whether the following systems are linear or nonlinear.
()
xt
is an
arbitrary input and
yt
is the zerostate response to
.
a.
() 2() 3
=+
b.
, ()1
0,
otherwise
⎧
>
⎪
=
⎨
⎪
⎩
c.
() 4()
d
y
ty
t
x
dt
+=
1
2
0
1
2
(a)
x(t)
1
2
12
0
1
2
(b)
1
3
4
4
3
1
2
0
1
2
(c)
1
2
3
0
1
2
(d)
1
1
2
0
(e)
1
3
4
5
··· (repeats)
t
t
t
t
t
x(t)
x(t)
x(t)
x(t)
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View Full Document d.
() cos
(())
y
tx
t
=
e.
()()
tt
x
=
f.
)
((
)
ex
yt
d
λ
−
−∞
=
∫
3.
Determine whether the systems in problem 2 are causal or noncausal.
4.
Determine whether the systems in problem 2 have memory or are memoryless.
5.
Determine whether the systems in problem 2 are time invariant or time varying.
6.
A LTI system responds to the input
()
xt
ut
=
with the output
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This note was uploaded on 10/15/2010 for the course BIM BIM108 taught by Professor Qiu during the Winter '09 term at UC Davis.
 Winter '09
 Qiu

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